English

A combinatorial refinement of the Kronecker-Hurwitz class number relation

Number Theory 2016-04-12 v1

Abstract

We give a refinement of the Kronecker-Hurwitz class number relation, based on a tesselation of the Euclidean plane into semi-infinite triangles labeled by PSL2(Z)PSL_2(\mathbb{Z}) that may be of independent interest.

Keywords

Cite

@article{arxiv.1604.02822,
  title  = {A combinatorial refinement of the Kronecker-Hurwitz class number relation},
  author = {Alexandru A. Popa and Don Zagier},
  journal= {arXiv preprint arXiv:1604.02822},
  year   = {2016}
}

Comments

6 pages, 3 figures

R2 v1 2026-06-22T13:29:07.480Z